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  • Class 12 Maths Study Material

An Educational platform for Preparation and Practice Class 12. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 12. This study material help Class 12, Maths students in learning every aspect of Applications of Derivatives. Students can understand Applications of Derivatives concept easily and consolidate their learning by doing Online Practice Tests on Maths,Applications of Derivatives chapter repeatedly till they excel in Class 12, Applications of Derivatives. Free ONLINE PRACTICE TESTS on Class 12, Applications of Derivatives comprise of Hundreds of Questions on Applications of Derivatives, prepared by the highly professionals team. Every repeat test of Applications of Derivatives will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Applications of Derivatives. Attempt ONLINE TEST on Class 12,Maths,Applications of Derivatives in Academics section after completing this Applications of Derivatives Question Answer Exercise.


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Applications of Derivatives
If η > 1, it means the demand D is ____________ .

a) Constant function of price
b) Relatively inelastic
c) Exactly proportional to the price
d) Relatively elastic



Answer
Correct Answer Is : Relatively elastic
Solution Is :
If η = 1, it means the demand D is ____________ .

a) Constant function of price
b) Relatively inelastic
c) Exactly proportional to the price
d) Relatively elastic



Answer
Correct Answer Is : Exactly proportional to the price
Solution Is :
If 0 < η < 1, it means the demand D is ____________ .

a) Constant function of price
b) Relatively inelastic
c) Exactly proportional to the price
d) Relatively elastic



Answer
Correct Answer Is : Relatively inelastic
Solution Is :
Find the value of x for which the function f(x) = x 3 - 6x 2 -15x + 1 is increasing.

a) X ∊ (5 , ∞)
b) X ∊ (- ∞, -1)
c) Both 1 and 2
d) None of these



Answer
Correct Answer Is : Both 1 and 2
Solution Is :
Find the value of x for which the function f(x) = 8x + (2/x) is decreasing.

a) X ∊ ((-1/2),(1/2)) - {0}
b) X ∊ ((-2),(1/2)) - {0}
c) Both 1 and 2
d) None of these



Answer
Correct Answer Is : X ∊ ((-1/2),(1/2)) - {0}
Solution Is :
True or false:The rate of change of the area of a circle with respect to its radius r at r = 6 cm is 8π.

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : FALSE
Solution Is :
If the function f(x) is increasing at x = c, then _________ .

a) F`( c ) > 0.
b) F`( c ) < 0.
c) F`( c ) = 0.
d) F`( c ) ≠ 0.



Answer
Correct Answer Is : F`( c ) > 0.
Solution Is :
If the function f(x) is decreasing at x = c, then _________ .

a) F`( c ) > 0.
b) F`( c ) < 0.
c) F`( c ) = 0.
d) F`( c ) ≠ 0.



Answer
Correct Answer Is : F`( c ) < 0.
Solution Is :
Demand function x, for s certain commodity is given as x = 200 - 4p, where p is the unit price. Find elasticity of demand as a function of p.

a) η = p/50
b) η = p/(50 + p)
c) η = p/(50 - p)
d) η = p/(p - 50)



Answer
Correct Answer Is : η = p/(50 - p)
Solution Is :
An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

a) 900cm^ 3 / s
b) 800cm^ 3 / s
c) 700cm^ 3 / s
d) 600cm^ 3 / s



Answer
Correct Answer Is : 900cm^ 3 / s
Solution Is :
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